Gina recently got an 10% raise on her salary. If Gina used to make $25 per hour, what is her new salary?

Answer:

4(7 + 2v).

Step-by-step explanation:

The greatest common factor of 28 and 8v is 4 so we take 4 out:

28 + 8v

= 4(7 + 2v).

Total area of the field is 160 ft^2

Step-by-step explanation:

Given

Total workers = 4

Each worker's share of area = 5*8 feet

We will find the area for each worker and then multiply the area with four to find the whole area of field as it was evenly distributed to workers

so,

[tex]Area\ given\ to\ one\ worker = 5*8\\= 40\ ft^2[/tex]

[tex]Total\ area = 40*4 = 160\ ft^2[/tex]

Total area of the field is 160 ft^2

Keywords: Area, Measurement

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Final answer:

The total area of the field being harvested by four workers, each with a plot of 5 by 8 feet, is 160 square feet.

Explanation:

The subject of this question is Mathematics, specifically, it involves calculating the total area of land worked by four workers. Each worker is given a plot that is 5 feet by 8 feet. To find the total area of the field that the four workers are harvesting, you multiply the area of one plot by the number of workers.

To calculate the area of one plot: Area = length * width = 5 feet * 8 feet = 40 square feet.
Now, since there are four workers each with a plot of this size, you multiply the area of one plot by the number of plots/workers:
Total area = 40 square feet/plot  imes 4 plots = 160 square feet.

Therefore, the total area of the field being harvested by the four workers is 160 square feet.

Answer:

200 ft.

2 jumps

Step-by-step explanation:

The slide is placed at coordinates (-2,0) and the fountain is placed at coordinates (-2,-2).

(A) Therefore, using the distance between two known points formula, the distance from the slide to the fountain is given by  

[tex]\sqrt{(-2 - ( -2))^{2} + (-2 - 0)^{2}} = \sqrt{(0 + 4)} = 2[/tex] units.

Now, given that each unit on the grid represents 100 ft.

So, the distance from slide to the fountain is (100 × 2) = 200 ft. (Answer)

(B) Now, if each jump = 100 ft, then the slide is 2 jumps apart from the fountain. (Answer)

We know the distance between two known points on the coordinate plane ([tex]x_{1},y_{1}[/tex]) and ([tex]x_{2},y_{2}[/tex]) is given by the following formula

Distance = [tex]\sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2}  )^{2}}[/tex]

The distance from the slide to the fountain is sqrt(29) units on the grid or 100*sqrt(29) feet. If each unit represents 100 ft, the distance is 100*sqrt(29) feet.

To find the distance from the slide to the fountain, we need to determine the coordinates of both points on the grid. Let's assume the slide is located at point A (2,4) and the fountain is located at point B (7,6).

Using the distance formula, d = sqrt(([tex]x2 - x1)^2 + (y2 - y1)^2)[/tex], we can plug in the coordinates:

d = [tex]sqrt((7 - 2)^2 + (6 - 4)^2)[/tex] = sqrt(25 + 4) = sqrt(29).

So, the distance from the slide to the fountain is approximately sqrt(29) units on the grid or 100*sqrt(29) feet.

To determine the distance in feet if each unit on the grid represents 100 ft, we can simply multiply the distance by 100:

Distance = sqrt(29) * 100 = 100*sqrt(29) feet.

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Answer:

Domain f(x)={y:6≥y≤0}

Range of f(x)={x:x≤69}

Cross-check the location of point on your graph this is roughly estimation

Answer:

x=-61/5

Step-by-step explanation:

-5=1/(x+12)

x+12=-1/5

x=-1/5-12

x=-1/5-60/5

x=-61/5

Answer:

Step-by-step explanation:

CH3Cl is polar while CCl4 is non polar.

When we consider whether something is polar or not we have to consider the following:

-Molecular symmetry

-Polar bonds (based on Electronegativity)

-Whether or not all the bonds are equal in magnitude

So for CCl4:

-All of the bonds are equal, in that all the electronegativity differences (delta EN) are the same.

-There are polar bonds as the delta EN between Cl (EN = 3.0) and C (EN=2.5) is 0.5 which means the bond is polar covalent

But when we look at the symmetry of the molecule (by drawing the lewis structure) there are no lone pairs, meaning that the molecule is symmetrical and therefore, it is non polar.

For CH3Cl:

-There are polar bonds here whether between C-H or C-Cl like above, both delta EN are greater than or equal to 0.5

-But, all of the bonds are not equal in strength. Cl (3.0) atoms have much higher electronegativity values than H (2.1) and there for they will "pull" the electrons closer and polarize the molecule. Therefore, the differences in bonds causes this molecule to be asymmetrical, and hence polar.

CH3Cl is polar due to an uneven electron distribution and net dipole moment, due to the different atoms attached. In contrast, CCl4 is nonpolar because it's symmetrical with the dipole moments cancelling out.

The compounds CH3Cl and CCl4 vary in their polarities due to their molecular geometry, leading to different symmetries. CH3Cl has a tetrahedral shape but is polar because of the presence of the electronegative Chlorine atom and three Hydrogen atoms, creating an uneven distribution of electrons and thereby, a net dipole moment. On the other hand, CCl4 is also tetrahedral, but it's nonpolar due to its symmetry. As it has four Chlorine atoms evenly distributed around the Carbon atom, the dipole moments cancel out each other leading to no net dipole moment.

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To simplify the expression 12k + 5k - 11m + 13m, we can combine like terms by adding the coefficients of the like terms. The simplified expression is 17k + 2m.

The expression 12k + 5k - 11m + 13m can be simplified by combining like terms. Like terms have the same variables raised to the same powers. In this expression, the terms 12k and 5k are like terms because they both have the variable k. Similarly, the terms -11m and 13m are like terms because they both have the variable m.

To simplify, we can add the coefficients of the like terms:

12k + 5k - 11m + 13m = (12 + 5)k + (-11 + 13)m

Therefore, the simplified expression is 17k + 2m.

Answer:

1. The required slope m, for the context is[tex]m = 1.08[/tex]

2. The y-intercept in the context is [tex]a = y = 1052[/tex]

3. The graph is on Desmos.

Step-by-step explanation:

Given:

[tex]a = 1.08\times t + 1052[/tex]

Where,

a is the speed of sound wave.

t is the air temperature.

This is a linear model type equation.

Can be represented in the slope intercept form  which is equal to

[tex]y = mx + c[/tex]

Where,

m = Slope of the line.

c = y-intercept.

Now if we compare the given model by slope intercept formula we get

[tex]m = 1.08\\\\c = 1052[/tex]

So ,the slope in the context of the problem is [tex]m = 1.08[/tex].

and the y intercept in the context of the problem [tex]a = c = y = 1052[/tex]

For Sketching the graph we require two point

put t = 0

∴ a = 1052

Let A (1052, 0) be one point.

put a = 0

∴ t = -974.07

Let B (0, -974.07) another point.

So, the x intercept of the linear model is [tex]t = x = -974.07[/tex]

Here in the graph

X axis represent temperature in degree, Fahrenheit.(t)

Y axis represent Speed of sound wave in feet per second.(a)

Scale on both axes:

1 cm = 100 feet per second on y-axis

1 cm = 100 degree Fahrenheit on x-axis

Answer:

Step-by-step explanation:

5, 39, 24 just finished it

Answer:

[tex]SU=5\\\angle WXY = 24\°\\\angle SYW = 39 \°[/tex]

Step-by-step explanation:

According to the graph,

[tex]\angle WXT \cong \angle YXT[/tex]

So, [tex]m\angle YXT =12 \°[/tex]

By sum of angles we have

[tex]\angle WXY = \angle WXT + \angle YXT\\\angle WXY = 12 \° + 12\° = 24 \°\\\therefore \angle WXY 24\°[/tex]

By given, we know that

[tex]\angle UYS \cong \angle SYW\\\therefore \angle SYW = 39 \°[/tex]

By given, we know that side SU is a leg of the right triangle SUX, where the hypotenuse is 13 units, and the opposite angle is 12°. However, if you look closer, you would find that side ST is 5 units, and by GIven we know that ST = SU.

Therefore, SU = 5.

Answer:

$48

Step-by-step explanation:

A pair of jeans= $12

Two pair of jeans= $12*2= $24

A shirt= $8

3 shirts= $8*3= $24

So it would be $24+$24= $48.

They made their mistake when calculating the cost of the jeans by getting $26 instead of $24.

Answer:

1.64 oz

Step-by-step explanation:

0.2 of the soap is 0.2 of 8.2 ounces which is

0.2 * 8.2 ounces

0.2 * 8.2 oz = 1.64 oz

She used 1.64 oz

0.2 is equal to 20% you can figure that out by multiplying 8.2 x20 and then diving that by 100

8.2x20=164

164/100=1.64

Answer:

D) .h(x)= 6x+ 13

Step-by-step explanation:

We are given that,

Function representing number of students from A,

Function representing number of students from B,

It is required to find the total number of students in the fair.

So, we have,

Total number of students =

i.e. Total number of students =

i.e. Total number of students =

i.e. Total number of students =

Hence, the function representing the total number of students in the fair is .

Thus, option D is correct.

Answer:

6x + 13.

Step-by-step explanation:

That is the sum of R(x) and g(x)

= 4x + 5 + 2x + 8

= 6x + 13.

Answer:

B

Step-by-step explanation:

-2x + 9 < x - 9 simplifies to x < 6

Answer:

A is the answer

Step-by-step explanation:

Solve the equation and the answer would come out to be 6

open dot that goes to the right

Answer:

1/2

Step-by-step explanation:

you put it in slope form which is y1-y2/x1-x2 to get 9-3/7+5 which simplifies to 1/2

i think u gotta multiply

Answer:

Use an app that can scan problems to solve

Step-by-step explanation:

Answer:

Joe shoveled 6, Jill shoveled 9

Step-by-step explanation:

Answer:

Joe: 6

Jim: 9

Step-by-step explanation:

Joe: x

Jim: 2x - 3

x + 2x - 3 = 15

3x - 3 = 15

3x = 18

x = 6

Answer:

Step-by-step explanation:

Just draw a number line and label three numbers, -4, -3.4 & -3. Mark -3.4 in the number line.

Solution for an=19-7(n-1) equation:

Simplifying

an = 19 + -7(n + -1)

Reorder the terms:

an = 19 + -7(-1 + n)

an = 19 + (-1 * -7 + n * -7)

an = 19 + (7 + -7n)

Combine like terms: 19 + 7 = 26

an = 26 + -7n

Solving

an = 26 + -7n

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Divide each side by 'n'.

a = 26n-1 + -7

Simplifying

a = 26n-1 + -7

Reorder the terms:

a = -7 + 26n-1

Answer:

12/35 inches are in 1 mile.

Step-by-step explanation:

(3/10)/(7/8)=(3/10)(8/7)=24/70=12/35

1 mile=8/8

(8/8)(12/35)=1(12/35)=12/35

Answer:

Interest =$7540

Step-by-step explanation:

p=$13000

r=5.8%

t=10yrs

i=p*r*t/100

=13000*5.8*10/1000

=130*58

= $7540

Answer: 0.5

Step-by-step explanation: In this problem, we're asked to solve the following equation for p. Let's first switch 14 and 14p around so we have 14p + 14 = 21.

To solve this equation for p, we must first isolate the term containing p which in this case is 14p.

Since 14 is being added to 14p, we need to subtract 14 from both sides of the equation.

14p + 14 = 21

        -14   -14

On the left side of the equation, the positive 14 and negative 14 cancel each other out and we have 14p. On the right side of the equation, we hav 21 - 14 which gives us 7.

Now we have the equation 14p = 7.

Since p is being multiplied by 14, to get p by itself, we divide both sides of the equation by 14.

On the left side of the equation the 14's cancel and we are left with p. On the right side of the equation, 7 divided by 14 is 0.5 which is our answer.

Therefore, p = 0.5 which is the solution for our equation.

Remember, you can always check your solution by substituting a number in for a variable to make sure the equation is true.

Answer:

A. 1/2

Step-by-step explanation:

Took test got right on edge 2021

Answer:

It is 3.5 x 10^2 and 9.4x10^4

Step-by-step explanation:

350 = 3.5 x 10^2

which implies 3 - hundred

5 - tens

0 - units

94000 = 9.4x10^4

which implies 9 - ten thousand

4 - thousand

0 - hundred

0 - tens

0 - units

Answer:

Repost: 350.94

Step-by-step explanation:

three hundred: 3__

fifty: _5_

And: Is for the decimal point

Ninety (Thousandths): ___.9_

Four (Thousandths): ___._4

Now just put it all together and you get 350.94

Hopes this helps in the future ^_^

Answer:

1 and 2 answers are correct

Step-by-step explanation:

2x-y= -8

x-y = -4

ADD BOTH (y is cancelled)

3x= -12

x= -4

-8+y=-8

y=0

    -4-y = -4

     Multiply all by -1

4+y=4

y=0

Answer:

9

Step-by-step explanation:

the answer is 9 because 7 goes into 63 evenly 9 times

Answer: $9

Step-by-step explanation:

$63 for 7 people

63 ÷ 7 = 9

So that means that one person gets $9

Answer:

10 and 7

Step-by-step explanation:

10 + 7 = 17

10 - 7 = 3

Answer:

your answer is 10 and 7.

Step-by-step explanation:

because if you add 10 and 7 you get 17. them if you subtract them the answer is 3.

Answer:

N = 14

Step-by-step explanation:

Let the number be N.  Then:

N + 7 = 21

Now solve this equation for N:

Subtract 7 from both sides.  We get:

N = 14

Answer:

1. n = 14

2. n = 3

3. n - 7 = 21; n = 28

Answer:

A

Step-by-step explanation:

-22x=-4x+28

-18x=28

x=-28/18=-14/9

Answer:

The number which satisfy the given statement is 26 .

Step-by-step explanation:

Given as :

Twice a number is added to the number and the resultant is 78

Let The number is x

Now, According to statement

Two times x + x = 78

Or, 2 × x + x = 78

Or, 3 x = 78

So ,  x= [tex]\frac{78}{3}[/tex]

∴   x = 26

I.e The number is 26

Hence The number which satisfy the given statement is 26 .   Answer

Answer:

sqrt(x+3)

Step-by-step explanation: